Consider the following ordinary differential equation: (2.ry – 9r)dr + (2y +2 + 1)dy = 0 (D). 1. The ordinary differential equation (D) is: a) Linear b) Separables c) Exact d) None of the above

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the following ordinary differential equation:
(2.ry – 9a2)dx + (2y + x? + 1)dy = 0
(D).
1. The ordinary differential equation (D) is:
a) Linear
b) Separables
c) Exact
d) None of the above
2. The solution of the the ordinary differential equation (D) is:
a) y? + (x2 + 1)y – 3r3 = A
b) y? + (x2 + 1)y – 3y3 = A
%3D
|
c) r2 + (y² + 1)y – 3r = A
d) None of the above
3. The general solution of the partial differential equation
(2y + x2 + 1)uz – (2ry – 9x2)uy = 0,
is:
a) f(y? + (x² + 1)y – 3y, u) = 0
b)f(x2 + (y2 + 1)y – 3r, u) = 0
c) f(y? + (x² +1)y – 3r, u) = 0
d) None of the above
Transcribed Image Text:Consider the following ordinary differential equation: (2.ry – 9a2)dx + (2y + x? + 1)dy = 0 (D). 1. The ordinary differential equation (D) is: a) Linear b) Separables c) Exact d) None of the above 2. The solution of the the ordinary differential equation (D) is: a) y? + (x2 + 1)y – 3r3 = A b) y? + (x2 + 1)y – 3y3 = A %3D | c) r2 + (y² + 1)y – 3r = A d) None of the above 3. The general solution of the partial differential equation (2y + x2 + 1)uz – (2ry – 9x2)uy = 0, is: a) f(y? + (x² + 1)y – 3y, u) = 0 b)f(x2 + (y2 + 1)y – 3r, u) = 0 c) f(y? + (x² +1)y – 3r, u) = 0 d) None of the above
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